102222000203120 has 240 divisors, whose sum is σ = 293100839012352. Its totient is φ = 32442322936320.

The previous prime is 102222000203069. The next prime is 102222000203153. The reversal of 102222000203120 is 21302000222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3617879 + ... + 14749001.

Almost surely, 2^{102222000203120} is an apocalyptic number.

102222000203120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102222000203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146550419506176).

102222000203120 is an abundant number, since it is smaller than the sum of its proper divisors (190878838809232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102222000203120 is a wasteful number, since it uses less digits than its factorization.

102222000203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11131220 (or 11131191 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 102222000203120 its reverse (21302000222201), we get a palindrome (123524000425321).

The spelling of 102222000203120 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred three thousand, one hundred twenty".